Atkin-Lehner |
2+ 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
33418q |
Isogeny class |
Conductor |
33418 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-5668541183033344 = -1 · 218 · 78 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ -2 2 7- 11- -6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-54710,-6118584] |
[a1,a2,a3,a4,a6] |
Generators |
[1502:56701:1] |
Generators of the group modulo torsion |
j |
-153930331718857/48181805056 |
j-invariant |
L |
2.7561638923773 |
L(r)(E,1)/r! |
Ω |
0.15362268890815 |
Real period |
R |
4.4852812953055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4774d1 |
Quadratic twists by: -7 |